[jayd16]

Just off the top, pieces of the puzzle missing...

We have no idea how complete "known to have recovered" is where as the vaccinated population is well known.

It also doesn't say how "known to have recovered" as well as vaccinated is being calculated.

I'm also not sure what the relevance is given the comparative deadliness of the vaccine and "natural" immunity.

Edit: That's actually another statistic issue. You need to consider the "known to have not recovered." The population of "known to have recovered" is itself a biased selection of those with stronger immunities than the general population.